Station A and Station B are 120 miles apart. A train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes. When the train continues its journey, the engineer increases its average speed by 15 mph so that the train will arrive at station B on schedule. Find the average speed of the train before it stopped for 16 minutes.

Answers

Answer 1

Answer:

60

Step-by-step explanation:

60

Answer 2

The average speed of the train was 80mph.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, Given that, Station A and Station B are 120 miles apart.

And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.

Let, its average speed was x mph.

Then, Total time if didn't stop = 120/x h

Now, before stop it took time =( 1/3×120)/x h =40/x h

After stop it took time = 80/(x+15) h

i.e. 40/x +16/60+ 80/(x+15) = 120/x

⇒80/(x+15)+8/30= 80/x

⇒80(1/x-1/(x+15))=8/30

⇒10×(15/x^2+15x)=1/30

⇒x^2+15x=10×15×30

⇒x^2+15x-450=0

⇒x^2+75x-60x-450=0

⇒(x+75)(x-60)=0

⇒x=60 or, x= -75

Hence. the required speed was 60mph.

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Related Questions

i need help!!!! list the factors of -108 that equal to -3

Answers

Answer:

9 and -12

Step-by-step explanation:

This is the answer 9 and -12

The sum of five-sixths of f, one-half of p, and 3

Answers

Answer:

The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]

9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?

Answers

Answer:

8% interest rate

Step-by-step explanation:

step-by-step explanation: intrest = 484

Please help due today

Answers

(-2, 4) area is 10 units

Rizwan has 100 ruppees . He spent rs 25 in ice cream . Rs 45 on pizza, and the rest on other things . What percantage did he spend on other things .

Answers

Answer:percantage spent on other things = 30%

Step-by-step explanation:

Percentage spent on other things = Money spent on other things/ Total money x `100/ 1

Money spent on rest things = Total money - ( Money spent on ice cream + Money spent on pizza)

100 -(25+ 45)

100-70= Rs 30

Percentage spent on other things = Money spent on other things/ Total money x `100/ 1

= Rs 30/ Rs 100 x 100

0.3 x 100 = 30%

Calculate the area of the trapezoid

Answers

Answer:

180 in^2

Step-by-step explanation:

area = 5(sq rt 75) x (sq rt 27) - [5(sq rt 75)-5(sq rt 27)] x 3(sq rt 3) x 0.5

area = 180 in^2

in parallelogram
abcd if b=50 find the other angles​

Answers

Answer:

a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180

wouldnt x+x be 2x thanks

Answers

x + x is 2x. x times x is x squared or x^2 (x to the power of 2.)

Answer:

Wym?

---‐---------------–---------—,-------

I'll answer it on the comment or are u just playing?

will give you brianlist

Answers

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house

Answers

Answer:

3 miles

Step-by-step explanation:

This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg

-4(x+6)+2(x-2) please help!

Answers

Answer:

−2x−28

Step-by-step explanation:

Distribute:

=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)

=−4x+−24+2x+−4

Combine Like Terms:

=−4x+−24+2x+−4

=(−4x+2x)+(−24+−4)

= −2x - 28

12y + 29y +48y + 2ly + 13y + 7y

Answers

Answer:

Add all of the numbers then put a Y at the end.

Step-by-step explanation:

its just combining like terms, if their all Y. its jist adding with a letter at the end

Answer: 130y

here you go!

Find the simple interest on 3,750 in 5 years at 3% rate per annum.

Answers

Answer:

562.5

Step-by-step explanation:

i=?

p=3750

r=3*1/100=3/100

t=5 years

I=P*R*T

3750*5*3/100

=5625/100

=562.5

27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024

Answers

Answer:

D. 1024

Step-by-step explanation:

Each question can be answered 4 ways.

4 * 4 * 4 * 4 * 4 = 1024

D. 1024

Solve the equation. 8| n | − 1 = 15
A.n=2
B.n=2 or n=-2
C.n=8 or n=-8
D. No solution

Answers

Answer:

8n=15+1

8n=18

divide both sides by 8

n=2 A

...what's
[tex] \sqrt{169} [/tex]

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?

Choose exactly two answers that are correct.

Question 3 options:

The ratio of large to small T-shirts is about 4 to 1.

There are more than 35 small and extra small T-shirts.

There are about twice as many large T-shirts as small T-shirts.

There are fewer than 100 T-shirts in all.

Answers

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

there are fewer then 100 t shirts
the ration of large to small tshirts is about 4 to 1
they are both correct

Find the slope of -1:9 0:5 1:1,
-4/1
-1/4
1/4
4/1

Answers

Answer:

1/4

Step-by-step explanation:

A P E X

Answer:       I’m a goofy goober yeah your a goofy goober yeah

Step-by-step explanation:

Someone plz help me I will give brainliest

Answers

Answer:

Step-by-step explanation:

5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6

7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200

A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them that a direct (diagonal) path to the nearest landing area is 90,000 feet away. What is the angle of depression as they come in to land?

Answers

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

[tex]$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$[/tex]

[tex]$\sin \ \theta = \frac{60,000}{90,000}$[/tex]

[tex]$\sin \ \theta = \frac{2}{3}$[/tex]

[tex]$\sin \ \theta = 0.667$[/tex]

∴ [tex]$\theta = \sin^{-1 }(0.667)$[/tex]

     = 41.83°

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

X and Y
-5x+5y=-25
3x+2y=10

the X and Y is (4,-1) i need to know how to get the answer ​

Answers

Step-by-step explanation:

just substitute X and Y by their numerical values.

a) -5(4)+5(-1)=-25

-20-5= -25

-25= -25. true

b) 3(4)+2(-1) = 10

12 -2 =10

10=10. true

I need only help on 11-14 please someone help me

Answers

Linear function definition: a function that will create a straight line when graphed.

11 is not a linear function (not a straight line), but 12 is.

For the tables, you can either plot out the graph or just look at the number patterns. A linear function's numbers will always increase/decrease accordingly at a constant rate. For example, in 14, you notice that as x increases by 1, y decreases by 2. This means it is a linear graph.

In 13, as x increases by 1, the output y increases but at a different rate each time. It increased by 3 at first, then 5, then 7. Hence, it is not a linear function. What is it then? It is an exponential function.

Is my answer correct???

Answers

Answer:

Yes! Great job!

Hope that helps!

yes it is correct!!!!!!!!!!!!!!!!!!!!!!

Which pair of angles is congruent?

Answers

Answer:

Option 2

Step-by-step explanation:

Corresponding Angles Theorem

Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

Answers

Answer:

Step-by-step explanation:

Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

THIS IS THE COMPLETE QUESTION BELOW;

1. Explain how you calculate the net force in any direction on the box.

2. Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

3. What force could be applied to the box to make the net force in the horizontal direction zero? Explain.

4. Suppose a force of 25 N to the right is added to the box. What will be the net force to the right?

CHECK THE ATTACHMENT FOR THE FIQURE.

1)since the given horizontal forces are acting on the box at opposite direction then

NET FORCE= (100- 50)N

= 50N( this is because the 100N and 50N acting Horizontally will cancel each other, then the remaining force is 50N.

✓Since, the  two vertical forces also acted on the box in opposite direction, then

NET FORCE= (25 25)N

= 0N

Note: horizontal forces are one acting from right to left and vice versa, while vertical forces are ones acting from up to down and vice versa.

HENCE, NET FORCE = 50N + 0N= 50N

2) since the net vertical force was 0N, if

15N force is added then we still have NET FORCE OF 15N

3) if  force of 50N is applied to horizontal forces moving from left to right then NET HORIZONTAL FORCES= 0N

4) since, the net force for the box is 50N, if  Horizontal force of 25N is added  moving left to right then NET FORCE = 25N for whole box.

The graph shows a function. Is the function linker or non linear?

Answers

Answer:

It is linear since it is a straight line.

Given that the perimeter of the equilateral triangle below is 63 , solve for x

Answers

An equilateral triangle has 3 equal sides with 3 equal angles.

Let x be the length of a equilateral triangle.

x + x + x = 63

3x = 63

x = 63/3

x = 21

Hope it helps! Make me brainliest if it’s correct!

How do I round 31732.441804 to the nearest dollar?

Answers

Answer and Step-by-step explanation:

To round to the nearest dollar, you are essentially rounding to the nearest whole number.

This involves looking at the tenths place.

31732.441804

The bolded 4 is in the tenths place (after the decimal), and determines if the number to the left of it rounds up or stay the same.

Since 4 is not greater than or equal to 5, it makes the number stay 2.

So, we get the answer to be $31732.

#teamtrees #WAP (Water And Plant)

ummm i think it might be the last number after the decimal if it’s over 5 it’s the next number

aye anyone please help me with my math its really easy 9th grade I just figure out part of this question !!! please help

Answers

Answer:

hope this helps!

Step-by-step explanation:

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